{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:UYYCI5RSPVLAGXEHSYDK2BUGU6","short_pith_number":"pith:UYYCI5RS","canonical_record":{"source":{"id":"1801.03662","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-11T08:23:11Z","cross_cats_sorted":[],"title_canon_sha256":"ff10907f227a787e2b9c9969e1c816fbd365a192393c2cd4e32d1fb837c1c73c","abstract_canon_sha256":"f2168af61b8bacffeee5f35fb390ff7214ec72a794750426ee46724bc490ff8b"},"schema_version":"1.0"},"canonical_sha256":"a6302476327d56035c879606ad0686a7a913ae38e522786c87ad8bcbef8aa75e","source":{"kind":"arxiv","id":"1801.03662","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.03662","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"arxiv_version","alias_value":"1801.03662v2","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.03662","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"pith_short_12","alias_value":"UYYCI5RSPVLA","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"UYYCI5RSPVLAGXEH","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"UYYCI5RS","created_at":"2026-05-18T12:32:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:UYYCI5RSPVLAGXEHSYDK2BUGU6","target":"record","payload":{"canonical_record":{"source":{"id":"1801.03662","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-11T08:23:11Z","cross_cats_sorted":[],"title_canon_sha256":"ff10907f227a787e2b9c9969e1c816fbd365a192393c2cd4e32d1fb837c1c73c","abstract_canon_sha256":"f2168af61b8bacffeee5f35fb390ff7214ec72a794750426ee46724bc490ff8b"},"schema_version":"1.0"},"canonical_sha256":"a6302476327d56035c879606ad0686a7a913ae38e522786c87ad8bcbef8aa75e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:33.057836Z","signature_b64":"t/OQ5B5KWlFQ7aVL4Pv64+kVuNTXjMNqaFb9H+wzb1/DRW7sTJuaoO+a+lUXvOyzFzp2kPZDpfRO3p6BbIWhCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a6302476327d56035c879606ad0686a7a913ae38e522786c87ad8bcbef8aa75e","last_reissued_at":"2026-05-18T00:22:33.057192Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:33.057192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.03662","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:22:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k7tJyxVMF5Jlc+3n6wAqqrkeO7eSBzgJAziQ62VMdWMzeRBudHwaQKQNe6pcp38NK6utybsnsFEQlxoSb550Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T01:59:15.042503Z"},"content_sha256":"7653feabeefe89e6be1fa6d192f31bf5e681d89e76a2ba5eb15e2ba091bd1a12","schema_version":"1.0","event_id":"sha256:7653feabeefe89e6be1fa6d192f31bf5e681d89e76a2ba5eb15e2ba091bd1a12"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:UYYCI5RSPVLAGXEHSYDK2BUGU6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A value distribution result related to Hayman's alternative","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Anil Singh, Kuldeep Singh Charak","submitted_at":"2018-01-11T08:23:11Z","abstract_excerpt":"Motivated by Bloch's principle, we prove a value distribution result for meromorphic functions which is related to Hayman's alternative in certain sense."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.03662","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:22:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WeXV0LBxPr7Pqe9a+wPZ8E20JW5YeAPGxZfaRpUMPZZ61bA8Vd/8jNCpFM1vyrA4gU8iDtwGPyuGs+iBAZbHAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T01:59:15.042835Z"},"content_sha256":"8daec3c28ed5f5a11c5e8de1e3d66c034b627e7832d85b44dd1b6a2493036ee1","schema_version":"1.0","event_id":"sha256:8daec3c28ed5f5a11c5e8de1e3d66c034b627e7832d85b44dd1b6a2493036ee1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UYYCI5RSPVLAGXEHSYDK2BUGU6/bundle.json","state_url":"https://pith.science/pith/UYYCI5RSPVLAGXEHSYDK2BUGU6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UYYCI5RSPVLAGXEHSYDK2BUGU6/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-27T01:59:15Z","links":{"resolver":"https://pith.science/pith/UYYCI5RSPVLAGXEHSYDK2BUGU6","bundle":"https://pith.science/pith/UYYCI5RSPVLAGXEHSYDK2BUGU6/bundle.json","state":"https://pith.science/pith/UYYCI5RSPVLAGXEHSYDK2BUGU6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UYYCI5RSPVLAGXEHSYDK2BUGU6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:UYYCI5RSPVLAGXEHSYDK2BUGU6","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f2168af61b8bacffeee5f35fb390ff7214ec72a794750426ee46724bc490ff8b","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-11T08:23:11Z","title_canon_sha256":"ff10907f227a787e2b9c9969e1c816fbd365a192393c2cd4e32d1fb837c1c73c"},"schema_version":"1.0","source":{"id":"1801.03662","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.03662","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"arxiv_version","alias_value":"1801.03662v2","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.03662","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"pith_short_12","alias_value":"UYYCI5RSPVLA","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"UYYCI5RSPVLAGXEH","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"UYYCI5RS","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:8daec3c28ed5f5a11c5e8de1e3d66c034b627e7832d85b44dd1b6a2493036ee1","target":"graph","created_at":"2026-05-18T00:22:33Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Motivated by Bloch's principle, we prove a value distribution result for meromorphic functions which is related to Hayman's alternative in certain sense.","authors_text":"Anil Singh, Kuldeep Singh Charak","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-11T08:23:11Z","title":"A value distribution result related to Hayman's alternative"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.03662","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:7653feabeefe89e6be1fa6d192f31bf5e681d89e76a2ba5eb15e2ba091bd1a12","target":"record","created_at":"2026-05-18T00:22:33Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f2168af61b8bacffeee5f35fb390ff7214ec72a794750426ee46724bc490ff8b","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-11T08:23:11Z","title_canon_sha256":"ff10907f227a787e2b9c9969e1c816fbd365a192393c2cd4e32d1fb837c1c73c"},"schema_version":"1.0","source":{"id":"1801.03662","kind":"arxiv","version":2}},"canonical_sha256":"a6302476327d56035c879606ad0686a7a913ae38e522786c87ad8bcbef8aa75e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6302476327d56035c879606ad0686a7a913ae38e522786c87ad8bcbef8aa75e","first_computed_at":"2026-05-18T00:22:33.057192Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:33.057192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t/OQ5B5KWlFQ7aVL4Pv64+kVuNTXjMNqaFb9H+wzb1/DRW7sTJuaoO+a+lUXvOyzFzp2kPZDpfRO3p6BbIWhCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:33.057836Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.03662","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7653feabeefe89e6be1fa6d192f31bf5e681d89e76a2ba5eb15e2ba091bd1a12","sha256:8daec3c28ed5f5a11c5e8de1e3d66c034b627e7832d85b44dd1b6a2493036ee1"],"state_sha256":"451f2271a894f19a9e18fc26924a450a9ca186ca9b63bd93cf9952575d2ef63b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gnosHLpQFJGeNLrB2wJAsSL0I4tOw+QW37UZyXHLBxyUA2DWmxPRC+Q+AI/GSxgmvRsJamLB/n/wclMlmhQOBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T01:59:15.044634Z","bundle_sha256":"88571c5a03c264ef44286a2917524bddb8299800fa930b1a32b0ce7d480de742"}}